Math question ive been spending hours trying to solve it

Question

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 95 black, 100 white, and 90 red wires. How many of each type of cable were made?

Answer 1

For the black wires

3A + B + 2C =95

For the white wires

3A + 2B + C = 100

For the res wires

2A + B + 2C = 90

Solve the system by Gauss-Jordan.